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Finding the Third Proportional to 75,035 and 160,114

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Solution

The third proportional to 75,035 and 160,114 is: 341,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,035 : 160,114 = 160,114 : x
  2. Step 2: Convert to fraction form
    75,035/160,114 = 160,114/x
  3. Step 3: Cross multiply
    75,035x = 160,114 × 160,114
  4. Step 4: Simplify right side
    75,035x = 25,636,492,996
  5. Step 5: Solve for x
    x = 25,636,492,996/75,035
  6. Step 6: Final answer
    x = 341,660.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.